ABSTRACT
In survival analysis and reliability theory, a fundamental problem is the study of lifetime properties of a live organism or system. In this regard, there have been considered and studied several models based on different concepts of ageing such as hazard rate and mean residual life. In this paper, we consider an additive-multiplicative hazard model (AMHM) and study some reliability and ageing properties of the proposed model. We then specify the bivariate models whose conditionals satisfy AMHM. Several properties of the proposed bivariate model are investigated and adequacy of the model is evaluated based on a real data set.
Acknowledgments
We would like to express our sincere thanks to associated editor and two referees for their constructive comments and suggestions which improved and enriched the presentation of the paper. We would like also to thank Professor Barry Arnold at University of California, Riverside for helpful discussions. The first author is grateful to the office of Graduate Studies of the University of Isfahan for their support.
Disclosure statement
No potential conflict of interest was reported by the authors.